2⁴ × 3² × 13 × 29 × 37

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 6,431,880

Proper Divisor Sum 4,423,224

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2008637 ← → #2008663

Radix Representation

Decimal	2008656
Binary	111101010011001010000 (21 bits)
Octal	0o7523120
Hexadecimal	0x1EA650

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 37 39 48 52 58 72 74 78 87 104 111 116 117 144 148 156 174 208 222 232 234 261 296 312 333 348 377 444 464 468 481 522 592 624 666 696 754 888 936 962 1,044 1,073 1,131 1,332 1,392

Collatz Trajectory (135 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,008,656 1,004,328 502,164 251,082 125,541 376,624 188,312 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #2,008,655 Browse Full Index Next Integer #2,008,657 →